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80812032 = 211371879
BaseRepresentation
bin1001101000100…
…01100000000000
312122001200021020
410310101200000
5131141441112
612004025440
72000614410
oct464214000
9178050236
1080812032
1141686304
1223092280
1313985b92
14aa38640
15716448c
hex4d11800

80812032 has 96 divisors (see below), whose sum is σ = 246355200. Its totient is φ = 23076864.

The previous prime is 80812013. The next prime is 80812051. The reversal of 80812032 is 23021808.

It is an interprime number because it is at equal distance from previous prime (80812013) and next prime (80812051).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 80811993 and 80812011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42069 + ... + 43947.

It is an arithmetic number, because the mean of its divisors is an integer number (2566200).

Almost surely, 280812032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123177600).

80812032 is an abundant number, since it is smaller than the sum of its proper divisors (165543168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80812032 is a wasteful number, since it uses less digits than its factorization.

80812032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 80812032 is about 8989.5512680000. The cubic root of 80812032 is about 432.3399245000.

The spelling of 80812032 in words is "eighty million, eight hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 1879 2048 2688 3072 3584 3758 5376 5637 6144 7168 7516 10752 11274 13153 14336 15032 21504 22548 26306 30064 39459 43008 45096 52612 60128 78918 90192 105224 120256 157836 180384 210448 240512 315672 360768 420896 481024 631344 721536 841792 962048 1262688 1443072 1683584 1924096 2525376 2886144 3367168 3848192 5050752 5772288 6734336 10101504 11544576 13468672 20203008 26937344 40406016 80812032